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Finding the Fourth Proportional to 4,672.28, 6,444.90 and 2,782.62

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Solution

The fourth proportional to 4,672.28, 6,444.90 and 2,782.62 is: 3,838.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.28 : 6,444.90 = 2,782.62 : x
  2. Step 2: Convert to fraction form
    4,672.28/6,444.90 = 2,782.62/x
  3. Step 3: Cross multiply
    4,672.28x = 6,444.90 × 2,782.62
  4. Step 4: Simplify right side
    4,672.28x = 17,933,707.64
  5. Step 5: Solve for x
    x = 17,933,707.64/4,672.28
  6. Step 6: Final answer
    x = 3,838.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.